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Détermination des axiomatiques de théorie du potentiel dont les fonctions harmoniques sont différentiables. (French) Zbl 0164.14003


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[1] H. BAUER, Axiomatische behandlung des dirichletschen problems für elliptische und parabolische differentialgleichungen, Math. Annalen 146 (1962), 1-59. · Zbl 0107.08003
[2] H. BAUER, Harmonische raüme und ihre potentialtheorie, Lecture notes in Mathematics — Springer Verlag (1966). · Zbl 0142.38402
[3] N. BOBOC, C. CONSTANTINESCU, A. CORNEA, Axiomatic theorie of harmonic functions. Non negative superharmonic functions, Ann. Inst. Fourier, Grenoble, 15 1 (1965), 283, 312. · Zbl 0139.06604
[4] M. BRELOT, Axiomatique des fonctions harmoniques, les Presses de l’Université de Montréal (1966). · Zbl 0148.10401
[5] S. GUBER, On the potential theory of linear homogeneous parabolic partial differential equations of second order, Symposium on Probability Methods in Analysis, Lecture notes in Mathematics 31, Springer-Verlag (1967). · Zbl 0168.08203
[6] R. M. HERVÉ, Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel, Ann. Inst. Fourier, 12 (1962) 415.571. · Zbl 0101.08103
[7] F. JOHN, A note on the maximum principle for elliptic differential equations, Bull. Amer. Math. Soc., 44 (1938), 268.271. · JFM 64.0462.02
[8] G. MOKOBODZKI, Espaces de Riesz complètement réticulés et ensembles équicontinus de fonctions harmoniques, Séminaire CHOQUET (Initiation à l’analyse), 5e année 1965/1966,n° 6. · Zbl 0165.14202
[9] G. VALIRON, Cours d’analyse mathématique II — equations fonctionnelles, applications, 2e édition 1950 — Masson et Cie. · Zbl 0061.16607
[10] VAN DER WAERDEN, Modern algebra, translated from the 2nd revised German edition, New York, Frederick Ungar (1950). · Zbl 0039.00902
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